Archive | Algebra

A lot of students prepping for GMAT Quant, especially those GMAT students away from math for a long time, get lost when trying to divide by a square root. However, dividing by square roots is not something that should intimidate you. With a short refresher course, you’ll be able to divide by square roots in […]

More formally, these are called “rational expressions” in mathematics — “rational” in the sense of “having do with a ratio”, as the word is used in the phrase “rational numbers“. These rational expression appear in some of the most challenging Quant problems on the GMAT. Here are a few practice questions. (A) –2 (B) –1 […]

The GMAT sometimes features quant questions with strange symbols. These symbols should not fluster you too much as long as you remember that they do not represent standard mathematical notation. Instead, the symbols pertain only to the problem and are defined by the GMAT (or whatever prep material you happen to be using). Let’s have […]

This is a potentially tricky topic. First, consider these practice questions. 1. Which value(s) of x satisfies the equation above? I. –1 II. 4 III. 9 (A) I (B) III (C) I & II (D) I & III (E) I, II, & III 2. What is the value of y? A full discussion of these […]

First, a few practice problems. 1) The numbers a, b, and c are all positive. If , then what is the value of ? Statement #1: a – b = 3 Statement #2: = 7 2) Given that (P + 2Q) is a positive number, what is the value of (P + 2Q)? Statement #1: […]

Question #1: In the equation, can you divide both sides by x? Question #2: In the equation (x – 3)(x + 5) = (2x + 1)(x + 5), can you divide both sides by (x + 5)? Question #3: Question #4: Dividing by a variable or by an algebraic expression The short answer is: […]

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